When Scotland’s Battlefield Band played in Utah, one musician remarked that the high altitude threw their bagpipes out of tune.Evaluate the speed of sound numerically for air at room temperature. Compare your result to the formula for the RMS speed of the molecules in the gas. Derive an expression for the speed of sound in an ideal gas, in terms of its temperature and average molecular mass.Therefore an exact formula for conversion would be: the temperature T in degrees Celsius or (degree)☌ is equal to temperature T in degrees Fahrenheit or (degree)F minus 32, times 5/9. Argue that for purposes of computing the speed of a sound wave, the adiabatic B is the one we should use. Absolute zero on the Celsius and Fahrenheit scales are 273.15 (degree)C and 459.67 (degree)☏ respectively.Here, f is the value in degrees Fahrenheit, c the value in degrees Celsius, and k the value in kelvins: f ☏ to c ☌: c f 32 / 1.8 c ☌ to f ☏: f c × 1.8 + 32 f ☏ to k K: k f. Compute the bulk modulus of an ideal gas, in terms of its pressure P, for both isothermal and adiabatic compressions. For an exact conversion between degrees Fahrenheit and Celsius, and kelvins of a specific temperature point, the following formulas can be applied.This definition is still ambiguous, however, because I haven't said whether the compression is to take place isothermally or adiabatically (or in some other way). Where ρ is the density of the medium (mass per unit volume) and B is the bulk modulus, a measure of the medium’s stiffness? More precisely, if we imagine applying an increase in pressure Δ P to a chunk of the material, and this increase results in a (negative) change in volume Δ V, then B is defined as the change in pressure divided by the magnitude of the fractional change in volume: By applying Newton’s laws to the oscillations of a continuous medium, one can show that the speed of a sound wave is given by Just plug in the value you know to get the answer in the desired temperature scale using the appropriate conversion formula: Kelvin to Celsius: C K - 273 (C K - 273.15 if you want to be more precise) Kelvin to Fahrenheit: F 9/5 (K - 273) + 32 or F 1.8 (K - 273) + 32.
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